Search a number
-
+
2300211330000 = 2435476673711
BaseRepresentation
bin100001011110001111010…
…001110111101111010000
322010220020200102112222020
4201132033101313233100
5300141313100030000
64520411423411440
7325120244464023
oct41361721675720
98126220375866
102300211330000
11807572369481
12311968153b80
13138ba80b62cc
147d48bac31ba
153ec78ed2ba0
hex2178f477bd0

2300211330000 has 100 divisors (see below), whose sum is σ = 7425388964928. Its totient is φ = 613389680000.

The previous prime is 2300211329993. The next prime is 2300211330007. The reversal of 2300211330000 is 331120032.

It is an interprime number because it is at equal distance from previous prime (2300211329993) and next prime (2300211330007).

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300211330007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 38306856 + ... + 38366855.

Almost surely, 22300211330000 is an apocalyptic number.

2300211330000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300211330000 is an abundant number, since it is smaller than the sum of its proper divisors (5125177634928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2300211330000 is an equidigital number, since it uses as much as digits as its factorization.

2300211330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76673742 (or 76673721 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 2300211330000 its reverse (331120032), we get a palindrome (2300542450032).

The spelling of 2300211330000 in words is "two trillion, three hundred billion, two hundred eleven million, three hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 76673711 153347422 230021133 306694844 383368555 460042266 613389688 766737110 920084532 1150105665 1226779376 1533474220 1840169064 1916842775 2300211330 3066948440 3680338128 3833685550 4600422660 5750528325 6133896880 7667371100 9200845320 9584213875 11501056650 15334742200 18401690640 19168427750 23002113300 28752641625 30669484400 38336855500 46004226600 47921069375 57505283250 76673711000 92008453200 95842138750 115010566500 143763208125 153347422000 191684277500 230021133000 287526416250 383368555000 460042266000 575052832500 766737110000 1150105665000 2300211330000